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2 years ago

Solve each equation by factoring.

Mathematics

1 answer:

nevsk [136]2 years ago

4 0

Answer:

k=1/3; k=-2/5

Step-by-step explanation:

$15k^2+k-4=-2\\15k^2+k-2=0\\(3k-1)(5k+2)=0\\3k-1=0; 5k+2=0\\k=1/3; k=-2/5$

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The ratio of students who wear glasses to the total number of students in the class is 2:5 if there are 14 students who wear gla

vazorg [7]

Answer:

35 students in the class.

Step-by-step explanation:

If there are 5 students in the class, then 2 of them would wear glasses and 3 of them wouldn't. (Equation 1)

Now, there are 14 students how are wearing glasses.

We just times the whole Equation 1 by 7.

If there are 5 x 7 = 35 students in the class, then 2 x 7 = 14 of them would wear glasses and 3 x 7 = 21 of them wouldn't.

So, there are 35 students.

8 0

2 years ago

How many different answers can you get by grouping differently? Add parentheses to the expression 7+3•4+2 to create new expressi

DiKsa [7]

Answer: The different possible solutions are 42, 21, 31 and 80.

Explanation:

The given expression is,

$7+3\cdot 4+2$

Case 1.

$(7+3)\cdot 4+2=10\cdot 4+2$

$(7+3)\cdot 4+2=40+2$

$(7+3)\cdot 4+2=42$

Case 2.

$7+(3\cdot 4)+2=7+12+2$

$7+(3\cdot 4)+2=21$

Case 3.

$7+3\cdot (4+2)=7+3\cdot 8$

$7+3\cdot (4+2)=7+24$

$7+3\cdot (4+2)=31$

Case 4.

$(7+3)\cdot (4+2)=10\cdot 8$

$(7+3)\cdot (4+2)=80$

8 0

3 years ago

the right rectangular prism shown has a length of 8ft a width of 2ft and a height of 6ft the dimensions of the prism are doubled

Elan Coil [88]

Answer:

Part 1) The scale factor is $2$

Part 2) The dimensions of the enlarged prism are

a.Length=(8)(2)=16 ft

b.Width=(2)(2)=4 ft

c.Height=(6)(2)=12 ft

Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}

Step-by-step explanation:

we now that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Part 1)

Find the scale factor

we know that

If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to $2$

Part 2)

we know that

To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor

Length=(8)(2)=16 ft

Width=(2)(2)=4 ft

Height=(6)(2)=12 ft

Part 3) Find the surface area of the smaller rectangular prism

we know that

The surface area of the rectangular prism is equal to the area of its six rectangular faces

SA=2(8)(2)+2(2)(6)+2(8)(6)=152 ft^{2}

7 0

3 years ago

LAST QUESTION OF BRAINLY POINT CHALLENGE:

olasank [31]

Answer:
216in2

step-by-step
cause i said so

8 0

2 years ago

Henry and Bailey plan to make key chains. They need foot of string and 5 beads for each key chain. Henry has $8 to buy string, a

Alona [7]

Answer:

72 Keychains

Step-by-step explanation:

120 feet = $3.25

divide 120 by 3.25 to find how much string can be bought with $1. The result is 36.923. Then multiply that number by the number of dollars allotted to buying string. 8*36.923= 295.384. This is the total number of feet of string they have. They use 1 foot for each key chain so they can make 295 keychains based on how much string they have.

35 beads = $2.59

Divide 35 by 2.59 to find how many beads can be bought with $1. The result is 13.514. Then multiply that number by the number of dollars allotted to buying beads. This comes out to 364.878. This means She can buy 364 beads. Each Key chain needs 5 beads so divide 364/5 getting a total of 72 keychains.

Since there aren't enough beads to make any more than 72 keychains, they can make a total of 72 keychains (even though there is extra string)

5 0

2 years ago